Question

A line passes through the point (-2, 8) and has a slope of -7. Write an equation for this line.

Answer 1

[AI-generated answer — Bot GPT 3.5]

The equation of a line can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Given that the slope m is -7 and the line passes through the point (-2, 8), we can substitute these values into the equation:

8 = -7(-2) + b

Simplifying, we get:

8 = 14 + b

To isolate b, we subtract 14 from both sides:

8 - 14 = b

-6 = b

Thus, the equation of the line with a slope of -7 passing through the point (-2, 8) is: y = -7x - 6.